Ex.8.1 Q4 Comparing Quantities - NCERT Maths Class 8

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Question

A football team won \(10\) matches out of the total number of matches they played. If their win percentage was \(40\), then how many matches did they play in all?

Text Solution

What is known?

Total number of matches \(= 10\)

Win percentage \(= 40\%\)

What is unknown?

Total number of matches played.

Reasoning:

Assuming the total number of matches played as \(x,\) equating \(40\%\) of \(x\) is to \(10,\) the value of \(x\) can be found.

Steps:

Let the total number of matches played\(=x\)

\[\begin{align}40\% \;{\rm{ of}}\;x &= 10\\\frac{{40}}{{100}} \times x &= 10\\x &= \frac{{10 \times 100}}{{40}}\\&= 25\end{align}\]

The total number of matches played by football team is \(25.\)

  
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